Speaker: Professor Chunhui Qiu
Time: 10:30am--11:20am, July 3. Thursday
Place: 成功楼 Room 603
Title: Hodge theorem in complex Finsler geometry
Abstract: Let M be a compact complex manifold with a strongly pseudoconvex complex Finsler metric F, we define a natural projection of complex horizontal Laplacian on M, it is independent of the fiber coordinate. By using the Sobolev space theory and spectral resolution theory in a Hilbert space, we prove the Hodge theorem for the natural projection of complex horizontal Laplacian on M. Moreover, by means of the decomposition theorem of the self-adjoint elliptic operator, we also prove the Hodge theorem for the Hodge-Laplace operator on M.
Brief description of Professor Chunhui Qiu：
邱春晖，厦门大学数学科学学院教授，博士生导师，副院长。主要研究多复变函数论和复Finsler几何，在“Differential Geometry and its applications”, “Integral Equations and Operator Theory”“中国科学”等发表过40多篇论文，主持（过）四项国家自然科学基金面上项目、三项国家自然科学基金数学“天元”基金和一项厦门大学新世纪优秀人才支持计划，多次组织多复变与复几何、Finsler几何研讨会。
